Answer:
The average rate of change is 10.
Step-by-step explanation:
Since the average rate of change is the slope of a line, you'd solve this problem by finding the slope.
First, you can start by using the method.
Plug in the points (0,10) and (1,20).
Therefore your answer is 10.
Hope this helped!
Answer:
The probability that the card selected bears a number less than 34 is 0.3333.
Step-by-step explanation:
Let random variable <em>X</em> be defined as the number on the selected card.
There are <em>N</em> = 15 total cards.
The number on the cards are as follows:
S = {25, 26, 27,..., 38, 39}
The probability of an event, <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.
In this case we need to compute the probability that the card selected bears a number less than 34.
The favorable outcomes are:
<em>s</em> = {25, 36, 37, 38, 39}
<em>n</em> (X < 34) = 5
Compute the probability that the card selected bears a number less than 34 as follows:
Thus, the probability that the card selected bears a number less than 34 is 0.3333.
Answer:
We conclude that the valve performs above the specifications.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 6.3 pounds per square inch
Sample mean, = 6.5 pounds per square inch
Sample size, n = 130
Alpha, α = 0.02
Population standard deviation, σ = 0.8
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Decision rule:
If the calculated statistic is greater than the the critical value, we reject the null hypothesis and if the calculated statistic is lower than the the critical value, we accept the null hypothesis
Since,
We fail to accept the null hypothesis and reject the null hypothesis. We accept the alternate hypothesis.
Thus, we conclude that the valve performs above the specifications.